xanayagrant56 xanayagrant56
  • 06-12-2020
  • Mathematics
contestada

a triangle has sides with lengths of 50 centimeters ,30 centimeters and 40 centimeters is it a right triangle

Respuesta :

Hrishii
Hrishii Hrishii
  • 06-12-2020

Answer:

Yes

Step-by-step explanation:

[tex] {50}^{2} = 2500 ...(1)\\ \\ {30}^{2} + {40}^{2} = 900 + 1600 \\ {30}^{2} + {40}^{2} = 2500...(2) \\ \\ From \: equations \: (1) \: and \: (2) \\ \\ {50}^{2} = {30}^{2} + {40}^{2} \\ \\ \therefore \: By \: converse \: of \: Pythagoras \: \\Theorem \\ \\ 50, \: cm \: 40, \: cm \: 30 \: cm \: are \: the \: side \: \\lengths \: of \: right \: triangle.[/tex]

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